Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.6b
(/ (* x (- y z)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
10.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
67.0ms
(/ (* x (- y z)) (- t z))

simplify43.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11209239
25001239

prune115.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.4b
(/ x (/ (- t z) (- y z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series191.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t z) (- y z))
143.0ms
(/ x (/ (- t z) (- y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06331784
128631733
250011730

prune408.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.4b
(/ x (* 1 (/ (- t z) (- y z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
28×times-frac
18×add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
8×div-exp associate-/l*
6×associate-/r*
5×cbrt-undiv
4×prod-exp
3×associate-/r/
2×pow1 flip3-- frac-2neg 1-exp clear-num flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×div-sub associate-*r/
Counts
2 → 78
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (* 1 (/ (- t z) (- y z))))

series208.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
161.0ms
(/ x (* 1 (/ (- t z) (- y z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0368539
11371483
25001476

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
0.4b
(* x (/ (- y z) (- t z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- y z) (- t z))
27.0ms
(* x (/ (- y z) (- t z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- t z))
66.0ms
(* x (/ (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune188.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (1.7b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1155
2155

end0.0ms

sample431.0ms

Algorithm
intervals
Results
223.0ms8802×body80valid